EQUIANGULAR LINES IN LOW DIMENSIONAL EUCLIDEAN SPACES

Abstrakt

We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve the upper bounds on the cardinality of equiangular line systems in 19 and 20 dimensions to 74 and 94, respectively.

Klíčová slova

• EQUIANGULAR
• LINES
• LOW
• DIMENSIONAL
• EUCLIDEAN
• SPACES